The Weibull-exponential {Rayleigh} Distribution: Theory and Applications

  • G. C. Ibeh Department of Mathematics/Statistics, Federal Polytechnic Nekede, Owerri, Imo State, Nigeria
  • E. J. Ekpenyoung Department of Statistics, Michael Okpara University of Agriculture, Umudike, Abia State, Nigeria
  • K. Anyiam Department of Statistic, Federal University of Technology Owerri, Imo State, Nigeria
  • C. John Department of Statistics, Michael Okpara University of Agriculture, Umudike, Abia State, Nigeria
Keywords: Weibull distribution, exponential distribution, Rayleigh distribution, Weibull-Exponential {Rayleigh} family, maximum likelihood estimation

Abstract

This study introduces a new distribution in the family of generalized exponential distributions generated using the transformed-transformer method. Some properties of the distribution are presented. The new distribution has three parameters and they are estimated numerically using the BGFS iterative method implemented in R software. Two real sets of data are adopted to demonstrate the flexibility and potential applications of the new distribution.

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Published
2021-01-04
How to Cite
Ibeh, G. C., Ekpenyoung, E. J., Anyiam, K., & John, C. (2021). The Weibull-exponential {Rayleigh} Distribution: Theory and Applications. Earthline Journal of Mathematical Sciences, 6(1), 65-86. https://doi.org/10.34198/ejms.6121.6586
Section
Articles